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Escape velocity on the surface of a planet of radius R and density $ρ$ is V. What will be the escape velocity on the surface of a planet of radius 2R and density 4 $ρ$ ?

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Correct option is C

(3)Ve=2GMR = 2G. 43 πR3ρR = R83 πG.ρ∴ V'eV=R'R . ρ'ρ = 2RR . 4ρρ =4.⇒ V'e=4V.

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Escape velocity on the surface of a planet of radius R and density ρ is V. What will be the escape velocity on the surface of a planet of radius 2R and density 4ρ ?

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Escape velocity on the surface of a planet of radius R and density $ρ$ is V. What will be the escape velocity on the surface of a planet of radius 2R and density 4 $ρ$ ?